On the EXPERIMENTAL tab, click Run 1 trial. What is the outcome? The outcome of trail 1 is 6 Click Clear. Then, click Run 10 trials. How many trials were favorable? (Enter the number of favorable trials, not the probability.) There is/are 3 Click Run 10 trials five more times so that there are a total of 60 trials. There is/are 2

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UpStudy AI · Accepted Answer

To determine the number of favorable trials out of 60 trials, we need to calculate the probability of a favorable trial and then multiply it by the total number of trials to find the expected number of favorable trials.

Given:
- The outcome of trail 1 is 6.
- There are 3 favorable trials out of 10 trials.
- There are 2 favorable trials out of 60 trials.

Let's calculate the probability of a favorable trial:
$$ P(\text{favorable}) = \frac{\text{Number of favorable trials}}{\text{Total number of trials}} $$

For 10 trials:
$$ P(\text{favorable}) = \frac{3}{10} $$

For 60 trials:
$$ P(\text{favorable}) = \frac{2}{60} $$

Now, we can calculate the expected number of favorable trials out of 60 trials:
$$ \text{Expected number of favorable trials} = P(\text{favorable}) \times \text{Total number of trials} $$

Let's calculate the expected number of favorable trials out of 60 trials.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{2}{60}$$
- step1: Reduce the fraction:
  $$\frac{1}{30}$$
The probability of a favorable trial out of 60 trials is $$ \frac{1}{30} $$ or approximately 0.0333.

Now, we can calculate the expected number of favorable trials out of 60 trials:
$$ \text{Expected number of favorable trials} = P(\text{favorable}) \times \text{Total number of trials} $$

$$ \text{Expected number of favorable trials} = \frac{1}{30} \times 60 $$

$$ \text{Expected number of favorable trials} = 2 $$

Therefore, the expected number of favorable trials out of 60 trials is 2.
There are 2 favorable trials out of 60.

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